Question

Which situation can be represented by this inequality? (7.10C, SS, RC2) 145 < 15n + 17 A Ann has made 15 necklaces. She will make 17 more necklaces every week. Ann makes necklaces for n weeks. For what values of n will Ann have made at most 145 necklaces? B Ann has made 17 necklaces. She will make 15 more necklaces every week. Ann makes necklaces for n weeks. For what values of n will Ann have made at most 145 necklaces? C Ann has made 15 necklaces. She will make 17 more necklaces every week. Ann makes necklaces for a weeks. For what values of n will Ann have made at least 145 necklaces? D Ann has made 17 necklaces. She will make 15 more necklaces every week. Ann makes necklaces for n weeks. For what values of n will Ann have made at least 145 necklaces?

Answer 1

D. Ann has made 17 necklaces. She will make 15 more necklaces every week. Ann makes necklaces for n weeks. For what values of n will Ann have made at least 145 necklaces?​

Step-by-step explanation:

The inequality is:

145 ≤ 15n + 17

Then, the expression on the right side indicates that there is a fixed quantity of 17 and there is a variable quantity 15n that depends on the variable n. So, the situation that can represent this expression is that Ann has made 17 necklaces (fixed quantity) and she will make 15 more necklaces every week (a variable quantity).

So, if 15n + 17 represents the number of necklaces that Ann made after n weeks, the complete expression 145 ≤ 15n + 17 represents that this number of necklaces should be greater than or equal to 145.

Therefore, the correct answer is:

D. Ann has made 17 necklaces. She will make 15 more necklaces every week. Ann makes necklaces for n weeks. For what values of n will Ann have made at least 145 necklaces?​